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Proof step 2 from proof int2bits-pred (previous step)

0 < j ⊦ int2bits(j - 1) = sgn(bitsinvert(bitsinvert(int2bits(j)) +1))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 ≤ i → int2bits(i) = uint2bits(i)
Proof step 4:
0 ≤ j - 1, 0 < j ⊦ uint2bits(j - 1) = sgn(bitsinvert(bitsinvert(int2bits(j)) +1))

Rule argument

name: int2bits-pos rotate: F subst: [i] → [j - 1]

Additional information

Used simplifier rules: ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;% ⊦ 1 ≤ i ↔ 0 < i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: j - 1